You can factor each of these factors further by finding one of the roots.

5 r^3 + 4 = 0 -->

r = -(4/5)^(1/3)

This means that you can divide
5 r^3 + 4 by [r + (4/5)^(1/3)] to obtain a quadratic term. In case of the other factor you find the root
r = (4/5)^(1/3) and you can thus divide the term by [r- (4/5)^(1/3)] to find a quadratic factor.

Thanks to Count Iblis for catching my error. I got so carried away with trying to make the exponents look good that I simply read a minus sign but typed a + sign. Such is old age, bad eyes, and an elevator that doesn't go all the way to the top.

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